Nonlocal quasilinear variations of the chafee-infante problem
- Moraes Moreira, Estefani
- José Valero Cuadra Doktorvater/Doktormutter
- Alexandre Nolasco de Carvalho Co-Doktorvater/Doktormutter
Universität der Verteidigung: Universidad Miguel Hernández de Elche
Fecha de defensa: 28 von März von 2023
- Everaldo de Mello Bonotto Präsident/in
- Angel Gimenez Pastor Sekretär
- Sergio H. Monari Soares Vocal
- Karina Schiabel Vocal
- Pedro Marín-Rubio Vocal
Art: Dissertation
Zusammenfassung
In this work, we developed some results on nonlocal quasilinear variations of the Chafee-Infante problem. In the non-autonomous quasilinear case, we will show the existence of special solutions known as ``non-autonomous equilibria''. In the autonomous quasilinear case, we will exhibit the existence of a sequence of bifurcation of equilibria, for which we will analyze the stability and hyperbolicity. We will also exhibit the attractor of the global attractor for a particular case. In the last chapter, we will construct a concept of isolating block for multivalued problems and we will make an application of such concept.